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Finding the Fourth Proportional to 750.41, 1,034.72 and 632.86

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Solution

The fourth proportional to 750.41, 1,034.72 and 632.86 is: 872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.41 : 1,034.72 = 632.86 : x
  2. Step 2: Convert to fraction form
    750.41/1,034.72 = 632.86/x
  3. Step 3: Cross multiply
    750.41x = 1,034.72 × 632.86
  4. Step 4: Simplify right side
    750.41x = 654,838.90
  5. Step 5: Solve for x
    x = 654,838.90/750.41
  6. Step 6: Final answer
    x = 872.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.